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Finding the Fourth Proportional to 318.47, 477.73 and 277.02

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Solution

The fourth proportional to 318.47, 477.73 and 277.02 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.47 : 477.73 = 277.02 : x
  2. Step 2: Convert to fraction form
    318.47/477.73 = 277.02/x
  3. Step 3: Cross multiply
    318.47x = 477.73 × 277.02
  4. Step 4: Simplify right side
    318.47x = 132,341.11
  5. Step 5: Solve for x
    x = 132,341.11/318.47
  6. Step 6: Final answer
    x = 415.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.